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RESPOSTAS DO LIVRO DE MATEMTICA FINANCEIRA APLICADA PGINA 32 1) M = C . ( 1 + i . n ) M = 90000 . ( 1 + 0,045 . 8 ) M = 122400,00 2) M = C . ( 1 + i . n ) 233250 = C . ( 1 + 0,001 . 555) 233250 = C . 1,555 C = (233250) : (1,555) C = 150000,00 3) J = C . i . n 48,30 = C . 0,0115 . 1 C = (48,30) : (0,0115) C = 4200,00 4) M = C . ( 1 + i . n ) M = 12000 . ( 1 + 0,012 . 5 ) M = 12720,00 5) M = C . ( 1 + i . n ) M = 115000 . ( 1 + 0,0009 . 20) M = 117070,00 6) J = C . i . n J = 40000 . 0,024 . 5 J = 4800,00 7) J = C . i . n J = 1000 . 0,001 . 125 J = 125,00 M = C + J M = 1125,00 8)J = C . i . n 1024,80 = 8000 . i . 183 i = 1024,80/ 1464000 i = 0,0007 i = 0,07% a.d. i = 2,1% a.m. i = 25,2% a.a. 9) J = C . i . n J = 12500 . 0,0006 . 40 J = 300,00 10) M = C . ( 1 + i . n ) 200000 =C . ( 1 + 0,25 . 6 ) C = 200000/2,5 C = 80000,00 11) M = C . ( 1 + i . n ) M = 7500 . ( 1 + 0,0005 . 20 ) M = 7575,00 12) M = C . ( 1 + i . n ) 272000 = 200000 . ( 1 + i . 12 ) 272000/200000 = 1 + i . 12 1,36 1 = i . 12 i = 0,36/12 i = 0,03 i = 3% a.m. 13) M = C . ( 1 + i . n ) M = 2400 . ( 1 + 0,025 . 9 ) M = 2940,00 14) a) J = C . i . n J = 2500 . 0,0166666... . 2 J = 83,33 M = 2583,33 b) J = C . i . n J = 2500 . 0,000547945... . 61 J = 83,56 M = 2583,56 c) J = C . i . n J = 2500 . (0,20/360) . 61 J = 84,72 M = 2584,72 15) J = M C J = 11439 9999 J = 1440 J = C . i . n 1440 = 8000 . i . 3 i = 1440/24000 i = 0,06 a.m. i = 6% a.m. 16) M = C . ( 1 + i . n ) 1301,03 = 1245 . ( 1 + i . 3 ) i = 1301,03/1245 = 1 + i . 3 1,045 1 = i . 3 i = 0,045/3 i = 0,015 a.m. i = 1,5% a.m. 17) M = C . ( 1 + i . n ) 23100 = C . [1 + ( 0,24/360 ) . 75] 23100 = C . 1,05 C = 23100/1,05 C = 22000 18) M = C . ( 1 + i . n ) 25482,00 = 20550 . ( 1 + 0,02 . n) 25482/20550 = 1 + 0,02 . n 1,24 = 1 + 0,02 . n = 1,24 1 = 0,02 . n n = 0,24/0,02 12 meses 19) 2000 . 1000 = 2.000.000 (valor que receberia se tivesse vendido as sacas a R$ 1.000,00) 2000 . 1100 = 2.200.000 (valor pelo qual efetivamente vendeu 3 meses mais tarde) M = C . ( 1 + i . n ) M = 2000000 . ( 1 + 0,04 . 3 ) M = 2240000 (valor que teria se tivessevendido por R$ 1.000,00 e aplicado o dinheiro durante os 3 meses) O fazendeiro teve prejuzo de R$ 40.000,00 20) M = C . ( 1 + i . n ) M = 1450 . ( 1 + 0,012 . 24 ) M = 1867,60 21) M = C . ( 1 + i . n ) M = 2000 . ( 1 + 0,03 . 36 ) M = 4.160,00 id5815937 pdfMachine by Broadgun Software- a great PDF writer!- a great PDF creator! - http://www.pdfmachine.comhttp://www.broadgun.com 22) M = C . ( 1 + i . n ) M = 3000 . ( 1 + 0,045 . 5 ) M = 3.675,00 23) J = C . i . n J = 50000 . 0,0225 . 6 J = 6.750,00 24) M = C . ( 1 + i . n ) 31968 = C . ( 1 + 0,12 . 4 ) C = 31968/1,48 C = 21.600,00 25) M = C . ( 1 + i . n ) 42160 = C . ( 1 + 0,02 . 12 ) C = 42160/1,24 C = 34.000,00 26) J = C . i . n 2160 = C . 0,06 . 3 C = 2160/0,18 C = 12.000,00 27) M = C . ( 1 + i . n ) 5050 = 5000 . ( 1 + 0,0005 . n ) 1 + 0.0005. n = 5050/5000 0,0005 . n = 1,01 1 n = 0,01/ 0,0005 n = 20 dias 28) M = C . ( 1 + i . n ) 4200 = 1750 . ( 1 + 0,20 . n ) 1 + 0.20. n = 4200/1750 0,20 . n = 2,4 1 n = 1,4/ 0,20 n = 7 anos 29) M = C . ( 1 + i . n ) 2124 = 1800 . ( 1 + 0,36 . n ) 1 + 0.36. n = 2124/1800 0,36 . n = 1,18 1 n = 0,18/ 0,36 n = 0,5 anos n = 6 meses 30) M = C . ( 1 + i . n ) 11200 = 8000 . ( 1 + i . 24 ) 1 + i . 24 = 11200/8000 24 . i = 1,4 1 n = 0,4/ 24 i = 0,0166666... a.m. i = 10% a.s. 31) M = C . ( 1 + i . n ) 2950 = 2500 . ( 1 + i . 3 ) 1 + i . 3 = 2950/2500 3 . i = 1,18 1 n = 0,18/ 3 i = 0,06 a.t. i = 6% a.t. 32) M = C . ( 1 + i . n ) 2100 = 1680 . ( 1 + i . 5 ) 1 + i . 5 = 2100/1680 5 . i = 1,25 1 n = 0,25/ 5 i = 0,05 a.m. i = 5% a.m. 33) M = C . ( 1 + i . n ) 21850 = 20000 . ( 1 + i . 2 ) 1 + i . 2 = 21850/20000 2 . i = 1,0925 1 n = 0,0925/ 2 i = 0,04625 a.m. i = 4,625% a.m. 34) M = C . ( 1 + i . n ) 880 = 800 . ( 1 + i . 2 ) 1 + i . 2 = 880/800 2 . i = 1,1 1 n = 0,1/ 2 i = 0,05 a.m. i = 5% a.m. 35) J = C . i . n 900 = C . 0,06 . 3 C = 900/0,18 C = 5.000,00 M = C + J M = 5000 + 900 M = 5900,00 36) J = C . i . n J = 2650 . 0,03333... . 6 J = 530,00 37) J = C . i . n 10000 = 8000 . 0,12 . n n = 10000/960 n = 10,41666666 anos n =(10,41666666 anos) . 12 n = 125 meses 38) J = C . i . n 6160 = 38500 . 0,032 . n n = 6160/1232 n = 5 meses 39) J = C . i . n 2x = x . 0,20 . n n = 2x/0,20x n = 10 anos 40) J = C . i . n 384 = 4800 . 0,12 . n n = 0,66666... anos n = (0,666666 anos) . 12 n = 8 meses 41) J = C . i . n J = 800 . 0,02 . 4 J = 64,00 42) M = C + j M = 800 + 64 M = 864,00 43) J = C . i . n 117,50 = 2350 . i . 2 i = 117,50/4700 i = 0,025 i = 2,5% a.m. 44) M = C . ( 1 + i . n ) 11800 = 10000 . ( 1 + 0,018 . n ) 1 + 0,018 . n = 11800/10000 0,018 . n = 1,18 1 n = 0,18/ 0,018 n = 10 meses 45) J = C . i . n J = 4560 . 0,01 . 17 J = 775,20 46) M = C . ( 1 + i . n ) 5535,20 = C . ( 1 + 0,015 . 24 ) C = 5535,20/1,36 C = 4.070,00 47) M = C . ( 1 + i . n ) 58400 = 40000 . ( 1 + 0,02 . n ) 1 + 0,02 . n = 58400/40000 0,02 . n = 1,46 1 n = 0,46/ 0,02 n = 23 meses 48) J = C . i . n 2000 = 2000 . 0,04 . n n = 2000/80 n = 25 meses 49) M = C . ( 1 + i . n ) 960 = 800 . ( 1 + i . 2 ) 1 + i . 2 = 960/800 2 . i = 1,2 1 i = 0,2/ 2 i = 0,1 a.m. i = 10% a.m. 50) M = C . ( 1 + i . n ) 3246 = C . ( 1 + 0,0006 . 400 ) C = 3246/1,24 C = 2.617,74 PGINA 46 1) DC = M . i . n DC = 3900 . ( 0,24/12 ) . 3 DC = 234,00 2) DC = M . i . n DC = 3250 . ( 0,30/360 ) . 105 DC = 284,38 3) DC = M . i . n DC = 44250 . ( 0,18/12 ) . 5 DC = 3318,75 VC = M DC VC = 44250 3318,75 VC = 40931,25 4) Dr = Vr . i . n ( 38444 34325 ) = 34325 . i . 115 4119 = 3947375 . i i = 4119/3947375 i = 0,001043478 a.d. i = 0,031304348 i = 3,13% a.m. Obs.:n = 8 + 31 + 30 + 31 + 15 = 115 dias

5) DC = Dr . ( 1 + i . n ) DC = 2800 . ( 1 + 0,02 . 4 ) DC = 3024,00 6) M . ( 1 i . n ) = M1 . ( 1 i . n1 ) 55000 . [1 ( 0,30/360 ) . 30] = M1 . [1 ( 0,30/360 ) . 90] 53625 = M1 . 0,925 M1 = 53625/0,925 M1 = 57972,97 7) DC = M . i . n DC = 8000 . ( 0,02/30 ) . 79 DC = 421,33 8) DC = M . i . n ( 3200 2854,40 ) = 3200 . i . 90 345,60 = 288000 . i i = 345,60/288000 i = 0,0012 a.d. i = 0,036 a.m. i = 3,6% a.m. 9)DC = M . i . n ( 4665 4156,51 ) = 4665 . 0,0218 . n 508,49 = 101,697 . n n = 508,49/101,697 n = 5,000049... meses. n = 5 meses 10) VC = M . ( 1 i . n ) 952 = M . [1 ( 0,0192/30 ) . 75] 952 = M . 0,0952 M = 952/0,0952 M = 1000,00 11) DC = M . i . n 747,72 = 8345 . i . 80 747,72 = 667600 . i i = 747,72/667600 i = 0,001120... a.d. i = 0,03360... a.m. i = 3,36% a.m. 12) Vr = M Dr Vr = 8000 233,01 Vr = 7766,99 Vr = M/( 1 + i . n ) 7766,99 = 8000/( 1 + 0,0012 . n ) 1 + 0,0012 . n = 8000/7766,99 0,0012 . n = 1,03 1 n = 0,03/0,0012 n = 25 dias 13) Dr = Vr . i . n 540 = Vr . 0,003 . 40 540 = Vr . 0,12 Vr = 540/0,12 Vr = 4500,00 Vr = M Dr 4500 = M 540 M = 4500 + 540 M = 5040,00 14) DC = M . i . n DC = 589 . 0,015 .2 DC = 17,67 15) VC = M . ( 1 i . n ) 458,72 = M . [ 1 ( 0,02/30 ) . 36] 458,72 M . 0,976 M = 458,72/0,976 M = 470,00 16) DC = M . i . n 50 = 1000 . i . 5 50 = 5000 . i i = 50/5000 i = 0,01 a.m. i = 1% a.m. 17) DC = M . i . n 252 = 2100 . 0,02 . n 252 = 42 . n n = 252/42 n = 6 meses 18) DC = M . i . n DC = 3000 . 0,025 . 4 DC = 300 VC = M - DC VC = 3000 300 VC = 2700,00 19) Vr = M/( 1 + i . n ) Vr = 4600/[( 1+(0,3/12 ) . 6] Vr = 4600/1,15 Vr = 4000,00 20) Vr = M Dr Vr = 2388,96 255,96 Vr = 2133,00 Vr = M/( 1 + i . n ) 2133 = 2388,96/( 1 + i . 4 ) 1 + i . 4 = 2388,96/2133 4 . i = 1,12 1 i = 0,12/4 i = 0,03 a.m. i = 3% a.m. PGINA 64 1) M = C . ( 1 + i )n M = 2800 . ( 1 + 0,1 )4 M = 2800 . 1,4641 M = 4099,48 2) M = C . ( 1 + i )n 39398,95 = 28700 . ( 1 + 0,02 )n 39398,95/28700 = ( 1 + 0,02 )n 1,372785714 = ( 1 + 0,02 )n log 1,372785714 = n . log 1,02 0,137602751 = n . 0,008600172 n = 0,137602751/0,008600172 n = 15,99999988... n = 16 meses 3) M = C . ( 1 + i )n 40000 = 20000 . ( 1 + i )36 40000/20000 = ( 1 + i )36 362 = 1 + i 1 + i = 1,019440644 i = 1,019440644 1 i = 0,019440644 i = 1,9441% a.m. 4) M = C . ( 1 + i )n M = 9000 . ( 1 + 0,014 )105/30 M = 9000 . ( 1,014 )3,5 M = 9000 . 1,049863513 M = 9448,771617 M = 9448,77 5) M = C . ( 1 + i )n 35000 = C . ( 1 + 0,018 )6 35000 = C . 1,112978226 C = 35000/1,112978226 C = 31447,15609 C = 31447,16 6) M = C . ( 1 + i )n 107179,44 = 50000 . ( 1 + 0,1 )n 107179,44/50000 = ( 1 + 0,1 )n 2,1435888 = ( 1,1 )n log 2,1435888 = n . log 1,1 0,331141479 = n . 0,041392685 n = 0,331141479/0,041392685 n = 7,99999998... n = 8 semestres 7) M = C . ( 1 + i )n 8813,29 = 8000 . ( 1 + i )4 8813,29/8000 = ( 1 + i )4 410166125 , 1 = 1 + i 1 + i = 1,024500131 i = 1,024500131 1 i = 0,024500131 i = 2,45% a.m. 8) J = C . [( 1 + i )12 1] J = 15000 . [( 1 + 0,025 )12 1] J = 15000 . [1,344888824 1] J = 15000 . 0,344888824 J = 5173,332360... J = 5173,33 9) M = C . ( 1 + i )n 27450 = C . ( 1 + 0,0175 )3 27450 = C . 1,053424109 C = 27450/1,053424109 C = 26057,88093 C = 26057,88 10) M = C . ( 1 + i )n 32000 = C . ( 1 + 0,025 )4 32000 = C . 1,103812891 C = 32000/1,103812891 C = 28990,42 A troca vantajosa. 11) iq = ( 1 + it )q/t 1 iq = ( 1 + 0,18 )1/6 1 iq = 0,027969749 iq = 2,7969749% a.m. 12) iq = ( 1 + it )q/t 1 iq =(1 + 0,36 )1/4 1 iq = 0,079902949 iq = 7,9902949% a.m. 13) M = C . ( 1 + i )n . ( 1 + i . n ) M = 28400 . ( 1 + 0,08 )5 . [1 + 0,08 . (1/3)] M = 28400 . 1,469328077 . 1,026666667 M = 42841,68854 M = 42841,69 14) M = C . ( 1 + i )n M = 28400 . ( 1 + 0,08 )16/3 M = 28400 . 1,507509401 M = 42813,26699 M = 42813,27 15)M = C . ( 1 + i )n M = 100000 . ( 1 + 0,25 )2 M = 100000 . 1,5625 M = 156250 J = M C J = 156250 100000 J = 56250 16) M = C . ( 1 + i )n

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